Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
Answer:
c) 2 pi x
Step-by-step explanation:
The circumference is based on the equations:
C = pi * d where d = diameter
We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.
This tells us that d = 2r
So we can replace the equation for the circumference with:
C = pi * 2r
An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:
2(pi * r) + 2(pi * x)
So the answer is 2 pi x
2 + 5 + 8 + ... + 41 = 301
Answer:
301
Answer:
y = -3x - 4
Step-by-step explanation:
x - y - 2 = 4x + 2
x - y - 2 + y = 4x + 2 + y
x - 2 = 4x + 2 + y
x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2
-3x - 4 = y
so y = -3x - 4
Answer:
Incorrect
Step-by-step explanation:
Juanita is incorrect because she shouldn't be using 2 squared.